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Homology Theory: An Introduction to Algebraic Topology
Asked 7 years, 7 months ago. Active 7 years, 7 months ago.
Viewed 5k times. Any suggestions? I will have a look.
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May covers the basics of homotopy theory before homology, so when he covers homology he assumes you're familiar with the basics of homotopy first. Apart from being an excellent text book see my answer here for example this has a heavy use of categorical language already on page 20 he is talking about functors and left adjoints so if that is your thing, this is the book for you!.
An Introduction to Algebraic Topology - Rotman. This has a gentle use of categories and functors. Juan S Juan S 6, 22 22 silver badges 61 61 bronze badges. How do you compare Dieck's book to the classic book of Spanier?
Rotman's book is more like Spanier he was his student I believe. I think both of those,in addition to the other good suggestions here,will help you out a lot. Mathemagician Mathemagician Of course,a little thing like the facts never kept you from an opportunity to downvote me. But his reply to SL2 written well before you wrote your post spelled it out.
Besides,if you're serious about homology theory,the topological aspect is only half the story. I would have thought you would have advocated for such a perspective. If anyone else was posting the opinion-you probably would have. It is really an accident of history that they share a name.
SL2 SL2 3, 18 18 silver badges 24 24 bronze badges. What I am intrested in is homology of topological spaces. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Hydrodynamics, 6th ed. Press, Cambridge.
First ed. Introduction to Fluid Mechanics, 2nd ed.
Homology theory: an introduction to algebraic topology
Theoretical Hydrodynamics, 5th ed. Landau and L. Fluid Mechanics Press, London. Delphenich as free PDF downloads at neo-classical-physics. Topology NJ,.
Curtis : Review: P. J. Hilton, An introduction to homotopy theory
Truesdell The kinematics of vorticity, Indiana Univ. Press, Bloomington,. Saffmann Vortex Theory, Cambridge Univ. Press, Cambridge, Gugenheim and D. Spencer Reinhart Kuschorke Inventiones math. Pfaff Abh.